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Finding the Fourth Proportional to 369.89, 510.30 and 222.27

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Solution

The fourth proportional to 369.89, 510.30 and 222.27 is: 306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.89 : 510.30 = 222.27 : x
  2. Step 2: Convert to fraction form
    369.89/510.30 = 222.27/x
  3. Step 3: Cross multiply
    369.89x = 510.30 × 222.27
  4. Step 4: Simplify right side
    369.89x = 113,423.90
  5. Step 5: Solve for x
    x = 113,423.90/369.89
  6. Step 6: Final answer
    x = 306.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.